Massive quark scattering at strong coupling from AdS/CFT Export

@article{citeulike:6060264, abstract = {We extend the analysis of Alday and Maldacena for obtaining gluon scattering amplitudes at strong coupling to include external massive quark states. Our quarks are actually the N=2 hypermultiplets which arise when D7-brane probes are included in the AdS\_5 x S^5 geometry. We work in the quenched approximation, treating the N=2 matter multiplets as external sources coupled to the N=4 SYM fields. We first derive appropriate massive-particle boundary conditions for the string scattering worldsheets. We then find an exact worldsheet which corresponds to the scattering of two massive quarks and two massless gluons and extract from this the associated scattering amplitude. We also find the worldsheet and amplitude for the scattering of four massive quarks. Our worldsheet solutions reduce to the four massless gluon solution of Alday and Maldacena in the limit of zero quark mass, suggesting that the string worldsheets associated with scattering amplitudes at strong coupling have a universal behavior in the sense that they depend solely on kinematics. The amplitudes we compute can also be interpreted as (partly or completely) off-shell gluon amplitudes.}, archivePrefix = {arXiv}, author = {Barnes, Edwin and Vaman, Diana}, citeulike-article-id = {6060264}, citeulike-linkout-0 = {http://arxiv.org/abs/0911.0010}, citeulike-linkout-1 = {http://arxiv.org/pdf/0911.0010}, day = {2}, eprint = {0911.0010}, keywords = {alday-maldacena, amplitude, gluons, quarks}, month = {Nov}, posted-at = {2009-11-03 13:38:23}, priority = {2}, title = {Massive quark scattering at strong coupling from AdS/CFT}, url = {http://arxiv.org/abs/0911.0010}, year = {2009} }

TY - JOUR ID - citeulike:6060264 L3 - citeulike-article-id:6060264 N2 - We extend the analysis of Alday and Maldacena for obtaining gluon scattering amplitudes at strong coupling to include external massive quark states. Our quarks are actually the N=2 hypermultiplets which arise when D7-brane probes are included in the AdS_5 x S^5 geometry. We work in the quenched approximation, treating the N=2 matter multiplets as external sources coupled to the N=4 SYM fields. We first derive appropriate massive-particle boundary conditions for the string scattering worldsheets. We then find an exact worldsheet which corresponds to the scattering of two massive quarks and two massless gluons and extract from this the associated scattering amplitude. We also find the worldsheet and amplitude for the scattering of four massive quarks. Our worldsheet solutions reduce to the four massless gluon solution of Alday and Maldacena in the limit of zero quark mass, suggesting that the string worldsheets associated with scattering amplitudes at strong coupling have a universal behavior in the sense that they depend solely on kinematics. The amplitudes we compute can also be interpreted as (partly or completely) off-shell gluon amplitudes. TI - Massive quark scattering at strong coupling from AdS/CFT KW - alday-maldacena KW - amplitude KW - gluons KW - quarks AU - Barnes, Edwin AU - Vaman, Diana PY - 2009/Nov/02/ UR - http://arxiv.org/abs/0911.0010 ER -